01030nas a2200157 4500008004100000245006700041210006700108260001400175520054300189100001900732700002900751700001700780700001900797700001900816856003700835 2020 eng d00aStudying viral populations with tools from quantum spin chains0 aStudying viral populations with tools from quantum spin chains c3/24/20203 a
We study Eigen's model of quasi-species, characterized by sequences that replicate with a specified fitness and mutate independently at single sites. The evolution of the population vector in time is then closely related to that of quantum spins in imaginary time. We employ multiple perspectives and tools from interacting quantum systems to examine growth and collapse of realistic viral populations, specifically certain HIV proteins. All approaches used, including the simplest perturbation theory, give consistent results.
1 aShivam, Saumya1 aBaldwin, Christopher, L.1 aBarton, John1 aKardar, Mehran1 aSondhi, S., L. uhttps://arxiv.org/abs/2003.10668